Savita buys 5 shirts and 10 pants for Rs. 160 | vedclass

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Question

Let $Rs.\, p$ be the cost price of a shirt and $Rs.$ $q$ be the cost price of a pant. Then,

$CP$ of $5$ shirts $=$ Rs. $5 p$

$CP$ of $10$ pants

Vedclass · Accepted Answer

$200,60$

Vedclass · Answer

Let $Rs.\, p$ be the cost price of a shirt and $Rs.$ $q$ be the cost price of a pant. Then,

$CP$ of $5$ shirts $=$ Rs. $5 p$

$CP$ of $10$ pants $=$ Rs. $10 q$

$	herefore \quad 5 p+10 q=1600$    $...(i)$

Profit on the sale of $5$ shirts $=\frac{15 	imes 5 p }{100}= Rs \cdot \frac{3 p }{4}$

Loss on the sale of $10$ pants $=\frac{10 q 	imes 10}{100}= Rs . q$

Given,

Profit on the shirts $-$ Loss on pants $=$ $Rs. 90$

$\Rightarrow \quad \frac{3 p}{4}-q=90$

$	herefore \quad 3 p-4 q=360$ $...(ii)$

Multiplying $(i)$ by $3$ and $(ii)$ by $5$ and then subtracting $(ii)$ from $(i),$ we get

$50 q =3000 \Rightarrow q =\frac{3000}{50}= Rs .60$

Puting the value of $q$ in $(i)$ we get

$5 p=1000 \Rightarrow p=\frac{1000}{5}=$ $Rs. 200$

Hence, the cost price of shirt is $Rs. 200$ each and the cost price of pant is $Rs. 60$ each.

Savita buys $5$ shirts and $10$ pants for $Rs.$ $1600 .$ She sells shirts at a profit of $15 \%$ and pants at a loss of $10 \% .$ If her over all profit was $Rs.\,90$ what was the cost price of a shirt and a pant in $Rs.$?

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